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Summary: We survey some old and new results in the theory of derivations on Banach algebras. Although our overview is broad ranging, our principal interest is in recent results concerning conditions on a derivation implying that its range is contained in the radical of the algebra. For the entire collection see [Zbl 0792.00007
|46H05||General theory of topological algebras|
|46H70||Nonassociative topological algebras|
|46J99||Commutative Banach algebras; commutative topological algebras|
|47B47||Commutators, derivations, elementary operators, etc.|